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Reconstructions in limited-view thermoacoustic tomography Yuan Xu and Lihong V. Wanga)
 

Summary: Reconstructions in limited-view thermoacoustic tomography
Yuan Xu and Lihong V. Wanga)
Optical Imaging Laboratory, Department of Biomedical Engineering, Texas A&M University, 3120 TAMU,
College Station, Texas 77843-3120
Gaik Ambartsoumian and Peter Kuchment
Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368
Received 4 September 2003; revised 5 December 2003; accepted for publication 9 December
2003; published 11 March 2004
The limited-view problem is studied for thermoacoustic tomography, which is also referred to as
photoacoustic or optoacoustic tomography depending on the type of radiation for the induction of
acoustic waves. We define a ``detection region,'' within which all points have sufficient detection
views. It is explained analytically and shown numerically that the boundaries of any objects inside
this region can be recovered stably. Otherwise some sharp details become blurred. One can identify
in advance the parts of the boundaries that will be affected if the detection view is insufficient. If
the detector scans along a circle in a two-dimensional case, acquiring a sufficient view might
require covering more than a -, or less than a -arc of the trajectory depending on the position of
the object. Similar results hold in a three-dimensional case. In order to support our theoretical
conclusions, three types of reconstruction methods are utilized: a filtered backprojection FBP
approximate inversion, which is shown to work well for limited-view data, a local-tomography-type
reconstruction that emphasizes sharp details e.g., the boundaries of inclusions , and an iterative

  

Source: Ambartsoumian, Gaik - Department of Mathematics, University of Texas at Arlington
Kuchment, Peter - Department of Mathematics, Texas A&M University
Wang, Lihong - Department of Biomedical Engineering, Washington University in St. Louis

 

Collections: Biology and Medicine; Engineering; Mathematics